7 citations · 27 across the 32 of their papers we have counts for
4 papers · 2 filters
Group-theoretic and topological invariants of completely integrally closed Prüfer domains
Olivier A. Heubo-Kwegna, Bruce Olberding, Andreas Reinhart
We consider the lattice-ordered groups Inv and Div of invertible and divisorial fractional ideals of a completely integrally closed Prüfer domain. We prove that Div…
Topological aspects of irredundant intersections of ideals and valuation rings
Bruce Olberding
An intersection of sets is irredundant if no can be omitted from this intersection. We develop a topological approach to irredundance by introducin…
Asymptotic properties of infinite directed unions of local quadratic transforms
William Heinzer, Bruce Olberding, Matthew Toeniskoetter
We consider infinite sequences {R_n} of successive local quadratic transforms of a regular local ring. Let S denote the directed union of the sequence of regular local rings R_n. W…
Ideal theory of infinite directed unions of local quadratic transforms
W. Heinzer, K. A. Loper, B. Olberding +2
Let be a regular local ring of dimension at least 2. Associated to each valuation domain birationally dominating , there exists a unique sequence of local quadrati…